All Outputs (2)

Quantum Unique Ergodicity for Cayley graphs of quasirandom groups (2023)
Journal Article
Magee, M., Thomas, J., & Zhao, Y. (2023). Quantum Unique Ergodicity for Cayley graphs of quasirandom groups. Communications in Mathematical Physics, https://doi.org/10.1007/s00220-023-04801-x

A finite group G is called C-quasirandom (by Gowers) if all non-trivial irreducible complex representations of G have dimension at least C. For any unit ℓ2 function on a finite group we associate the quantum probability measure on the group given by... Read More about Quantum Unique Ergodicity for Cayley graphs of quasirandom groups.

Delocalisation of eigenfunctions on large genus random surfaces (2022)
Journal Article
Thomas, J. (2022). Delocalisation of eigenfunctions on large genus random surfaces. Israel Journal of Mathematics, 250(1), 53 -83. https://doi.org/10.1007/s11856-022-2327-1

We prove that eigenfunctions of the Laplacian on a compact hyperbolic surface delocalise in terms of a geometric parameter dependent upon the number of short closed geodesics on the surface. In particular, we show that an L2 normalised eigenfunction... Read More about Delocalisation of eigenfunctions on large genus random surfaces.